【講題】Traveling waves of two-species duffsive Lokta-Volterra competition systems via geometric singular perturbations

【演講時間】9月26日(星期五)下午1點30分 

【演講地點】清華大學校本部第二綜合大樓B側8樓A813室

【摘要】

We consider the two-species Lokta-Volterra competition-diffusion system with small diffusion on one species, whose attack rate from the other species is also small. By the geometric singular perturbation (GSP) theory, we prove the existence of the wavefront connecting the coexistence state to the trivial state, with traveling speed grater than the minimal speed. Again, using the GSP theory to approximate the Evans function for the wavefronts, we give the stability results. This is a joint work with Prof. Tzi-Sheng Yang.